18 One day, Anya runs 12 km at a speed of x km/h. The next day she walks 10 km at a speed of (x-4) km/h. (a) Write down an expression, in terms of x, for the time she spends running. .............................................. h [1] (b) Write down an expression, in terms of x, for the time she spends walking. .............................................. h [1] (c) The time Anya spends walking is 1 hour more than the time she spends running. W rite an equation in terms of x and show that it simplifies to x2-2x-48 = 0. [4] (d) Use factorisation to solve the equation x2-2x-48 = 0. x = .................. or x = .................. [3] (e) Find the time Anya spends running. .............................................. h [1] (cid:300)(cid:213)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:252)(cid:182)(cid:258)(cid:215) © UCLES 2025 (cid:300)(cid:230)(cid:272)(cid:243)(cid:212)(cid:295)(cid:249)(cid:296)(cid:209)(cid:239)(cid:244)(cid:187)(cid:265)(cid:234)(cid:279)(cid:273)(cid:259)(cid:258) 0580/21/M/J/25 (cid:293)(cid:261)(cid:261)(cid:277)(cid:181)(cid:181)(cid:197)(cid:245)(cid:293)(cid:213)(cid:181)(cid:197)(cid:261)(cid:245)(cid:293)(cid:213)(cid:245)(cid:213) M SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD * 0000800000015 * 15 (cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:6)(cid:44) 2 NIGRAM DFD